6
advanced-math

Which quadratic inequality has no solution?

A

x2<−1x^2 < -1

B

x2>−1x^2 > -1

C

x2≥0x^2 \geq 0

D

x2−1<0x^2 - 1 < 0

Correct Answer: A

Choice A is the correct answer.x2x^2 is always non-negative. It is impossible for it to be less than -1.

Choice B is incorrect because solution is all reals. Choice C is incorrect because solution is all reals. Choice D is incorrect because solution is −1<x<1-1 < x < 1.

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Set 15: Quadratic Equations and Functions 15